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Finding Node Voltages Using the Node Method 
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#1
Aug3111, 08:20 PM

P: 463

1. The problem statement, all variables and given/known data
Find the node voltages for the circuit shown. 2. Relevant equations See attachment. 3. The attempt at a solution I have chosen my ground node as the set of nodes in the bottom of the image and labeled all of my unknown voltages as e_{n}. Here is what I have so far. Where G = 1/R For the node labeled e_{1}: (e_{1}v_{0})G_{1} + e_{1}(G_{3}) + (e_{1}e_{2})I_{1} + (e_{1}e_{2})G_{2}=0 For the node labeled e_{2}: (e_{2}e_{1})(I_{2}) + e_{2}(G_{4}) + (e_{2}e_{1})G_{2}=0 I am pretty sure my problem lies in the way I am handling the currents in the node. I started plugging in numbers after I simplified it all and one of my unknown voltages went away. After that I looked at it again and knew I was doing it wrong. Most of the examples in the book don't deal with a current parallel to a resistor. I think the way I should have done it is rather than subtracting voltages and multiplying like I am doing with the resistor nodes, is just take the current by itself. So in my above equation e_{1})(I_{1}) would just become I_{1} since I am not using ohms law for current. I think I only need current? Does that sound better? 


#2
Aug3111, 10:23 PM

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#3
Sep111, 01:26 PM

P: 463

Perfect! Thanks for the help.
It seems half the time I post problems, I get them mostly figured out just typing the post up. :) 


#4
Sep111, 02:51 PM

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P: 11,783

Finding Node Voltages Using the Node Method



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